Abstract:
A $C^*$-algebra generated by one-dimensional singular integral operators on an unbounded complex contour is studied. The coefficients are allowed to have jump
discontinuities at the contour points and stabilize to almost periodic functions
on each arc extending to infinity. All primitive ideals of this algebra are
listed.
Keywords:
singular integral operator, complex contour, semi-almost periodic coefficients,
spectrum of a $C^*$-algebra, primitive ideals, localization principle.
Citation:
I. V. Baibulov, “On the representations of the $C^*$-algebra of singular integral operators on a complex contour with discontinuous semi-almost periodic coefficients”, Izv. Math., 89:6 (2025), 1125–1162
\Bibitem{Bai25}
\by I.~V.~Baibulov
\paper On the representations of the $C^*$-algebra of singular integral operators on a~complex contour with discontinuous semi-almost periodic coefficients
\jour Izv. Math.
\yr 2025
\vol 89
\issue 6
\pages 1125--1162
\mathnet{http://mi.mathnet.ru/eng/im9665}
\crossref{https://doi.org/10.4213/im9665e}
Citation in format AMSBIB
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